### Abstract

For a single degree of freedom confined mechanical system with given energy, we know that the motion is always periodic and action-angle variables are convenient choice as conjugate phase-space variables. We construct action-angle coherent states in view to provide a quantization scheme that yields precisely a given observed energy spectrum {E_{n}} for such a system. This construction is based on a Bayesian approach: each family corresponds to a choice of probability distributions such that the classical energy averaged with respect to this probability distribution is precisely E_{n} up to a constant shift. The formalism is viewed as a natural extension of the Bohr-Sommerfeld rule and an alternative to the canonical quantization. In particular, it also yields a satisfactory angle operator as a bounded self-adjoint operator.

Original language | English |
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Article number | 012038 |

Journal | Journal of Physics: Conference Series |

Volume | 343 |

DOIs | |

Publication status | Published - 1 Jan 2012 |

Event | 7th International Conference on Quantum Theory and Symmetries, QTS7 - Prague, Czech Republic Duration: 7 Aug 2011 → 13 Aug 2011 |

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## Cite this

*Journal of Physics: Conference Series*,

*343*, [012038]. https://doi.org/10.1088/1742-6596/343/1/012038